Economics Dictionary of ArgumentsHome | |||
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Universal quantification: an operator, which indicates that the following expression is a statement about all the objects in the considered domain. Notation "(x)" or "∀x". Ex. E.g. (x) (Fx ∧ Gx) everyday language "All Fs are Gs." .- Antonym_____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
Author | Concept | Summary/Quotes | Sources |
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Charles Sanders Peirce on Universal Quantification - Dictionary of Arguments
Berka I 41 Universal quantification/existential quantification/all/there is a/Peirce: the difference between the two forms is exactly the same between truth and falsehood - i.e. it is descriptive, not metric (gradually).(1) >Quantification, >Existential quantification, >"There is", >Truth, >Logic, >Truth values, >Falsity. 1. Ch. S. Peirce, On the algebra of logic. A contribution to the philosophy of notation. American Journal of Mathematics 7 (1885), pp. 180-202 – Neudruck in: Peirce, Ch. S., Collected Papers ed. C. Hartstone/P. Weiss/A. W. Burks, Cambridge/MA 1931-1958, Vol. III, pp. 210-249_____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Peir I Ch. S. Peirce Philosophical Writings 2011 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |